Which of the following is the correct setup of expanding the function \frac{5x^2 - 4x + 1}{x(x - 5)^2} into a sum of partial fractions? \frac{A}{(x - 5)} + \frac{B}{x} + \frac{C}{x^2} \frac{A}{(x - 5)} + \frac{B}{x} None of the other choices \frac{Ax + B}{(x - 5)^2} + \frac{C}{x} \frac{A}{(x - 5)} + \frac{B}{(x - 5)^2} + \frac{C}{x}
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The denominator of the partial fraction is x(x-5)². We can factor this as x(x-5)(x-5). Show more…
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